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Contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic warm plasma. Part 2. Non-isothermal case

Published online by Cambridge University Press:  13 March 2009

S. K. El-Labany  and
S. M. Shaaban
S. K. El-Labany
Affiliation:
Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
S. M. Shaaban
Affiliation:
Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
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Abstract

The contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic plasma consisting of a warm ion fluid and hot non- isothermal electrons is studied using reductive perturbation theory. At the lowest order of the perturbation theory a modified Korteweg–de Vries equation is obtained. At the next order a linear inhomogeneous equation is obtained. The stationary solution of the coupled equations is obtained using the renormalization method introduced by Kodama and Taniuti for reductive perturbation theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 2 , April 1995 , pp. 245 - 252
Copyright
Copyright © Cambridge University Press 1995

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References

REFERENCES

Abrol, P. S. & Tagare, S. J. 1980 Plasma Phys. 22, 831.CrossRefGoogle Scholar
Das, G. C. & Paul, S. N. 1985 Phys. Fluids 28, 823.CrossRefGoogle Scholar
El-Labany, S. K. 1992 Astrophys. Space Sci. 191, 185.CrossRefGoogle Scholar
El-Labany, S. K. 1993 J. Plasma Phys. 50, 3.CrossRefGoogle Scholar
Ichikawa, Y. H., Mitsuhashi, T. & Konno, K. 1976 J. Phys. Soc. Japan 41, 1384.CrossRefGoogle Scholar
Kodama, Y. & Taniuti, T. 1978 J. Phys. Soc. Japan 45, 298.CrossRefGoogle Scholar
Kruer, W. L., Dawson, J. M. & Sudan, R. N. 1969 Phys. Rev. Lett. 23, 838.CrossRefGoogle Scholar
Lai, C. S. 1979 Can. J. Phys. 57, 490.CrossRefGoogle Scholar
Nejoh, Y. 1987 J. Plasma Phys. 37, 487.CrossRefGoogle Scholar
Pakira, G. P., Chowdhury, A. R. & Paul, S. N. 1988 J. Plasma Phys. 40, 539.CrossRefGoogle Scholar
Schamel, H. 1973 J. Plasma Phys. 9, 377.CrossRefGoogle Scholar
Schamel, H. 1986 Phys. Rep. 140, 161.CrossRefGoogle Scholar
Tagare, S. C. & Reddy, R. V. 1986 J. Plasma Phys. 35, 219.CrossRefGoogle Scholar
Tran, M. Q. & Means, R. W. 1976 Phys. Lett. 49A, 128.CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Leti. 17, 996.CrossRefGoogle Scholar